非线性项变号的奇异边值问题的正解

Positive solutions to singular boundary value problems for second order differential equations with changing sign nolinearity

讨论带有延滞项的奇异三点边值问题:u″(t)+f(t,u(t-τ))=0,t∈(0,1)\τu(t)=η(t),t∈u(1)=βu(α)(1)正解的存在性,其中f变号且可能在t=0,t=1,u=0处奇异,文章的最后给出了这个定理的具体应用.

In this paper,we consider the existence of positive solutions for the following boundary value problem with changing sign nolinearity：u ″（t） ＋f（t,u（t -τ）） =0,t∈（0,1） ／τu（t） =η（t）,t∈[ -τ,0] u（1） =βu（α） Where f is sigh -changing nonlinearity and it may be singular at t =0,t =1,u =0.In the end of the paper we give an example of the theorem.